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# What is the remainder when a positive integer P is divided by 20

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What is the remainder when a positive integer P is divided by 20  [#permalink]

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04 Mar 2018, 08:59
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35% (medium)

Question Stats:

70% (01:30) correct 30% (01:40) wrong based on 57 sessions

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What is the remainder when a positive integer P is divided by 20?

(1) P = X^2 where X is a positive integer
(2) X is the square of an even integer

Source: Experts Global

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Re: What is the remainder when a positive integer P is divided by 20  [#permalink]

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04 Mar 2018, 09:45
pushpitkc wrote:
What is the remainder when a positive integer P is divided by 20?

(1) P = X^2 where X is a positive integer
(2) X is the square of an even integer

Source: Experts Global

(1) P = X^2 where X is a positive integer
x as a positive integer or negative integer does not matter as x^2 is always positive..
nothing much if x is an even integer, remainder will be even number and if x is odd number remainder will be some odd number
so clearly insuff

(2) X is the square of an even integer
insuff

combined..
if x is an even number but not a MULTIPE of 5, some remainder will be left
If x is multiple of 5 and also an even number for example 10, remainder will be 0
insuff

E
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Re: What is the remainder when a positive integer P is divided by 20  [#permalink]

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04 Mar 2018, 10:27
pushpitkc wrote:
What is the remainder when a positive integer P is divided by 20?

(1) P = X^2 where X is a positive integer
(2) X is the square of an even integer

Source: Experts Global

We have to find the remainder when positive integer P is divided by 20.
S1 - P = X^2 where X is a positive integer
X=2,4,6,8....
X^2=4,16,36,64.....
Each of the above gives different reminder on dividing by 20.
Therefore, insufficient.

S2 - X=0^2, 2^2, 4^2....
Insufficient, because no relation given between and X.

Combining, we get, P = X^2= 2^4, 4^4, 6^4...
Again, on dividing by 20, gives different remainders, hence insufficient.
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Re: What is the remainder when a positive integer P is divided by 20   [#permalink] 04 Mar 2018, 10:27
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